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Answer by Will Sawin for Characterization of étale locally constant sheaves...

(1) $ \mathcal F \to g_* g^* \mathcal F$ is an injection on the generic point.Proof: In other words, the map $g^* \mathcal F \to g^* g_* g^* \mathcal F$ arising from the unit is an isomorphism. By a...

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Characterization of étale locally constant sheaves over a normal scheme

I have a question about the verification of remark 1.2 in James Milne's book Étale Cohomology stated on page 156:Assume $X$ be a normal & connected scheme with genericpoint $g: \eta \to X$.Then the...

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